Suppose that a company manufactures a tire with a lifetime that approximately follows a normal distribution with mean 70,000 miles and standard deviation 4400 miles. Complete parts (a) through (d) below.

Click here to view page 1 of the standard normal distribution table.

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Part 1

(a) What proportion of the tires will last at least 75,000 miles?

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(Round to four decimal places as needed.)

Part 2

(b) Suppose that the company warrants the tires for 60,000 miles. What proportion of the tires will last 60,000 miles or less?

enter your response here

(Round to four decimal places as needed.)

Part 3

(c) What is the probability that a randomly selected tire manufactured by this company lasts between 65,000 and 80,000 miles?

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(Round to four decimal places as needed.)

Part 4

(d) Suppose that the company wants to warrant no more than 2% of its tires. What mileage should the company advertise as its warranty mileage?

The company should advertise

enter your response here

miles as its warranty mileage.

(Round to the nearest whole number as needed.)